X. Zhang et al.
Journal of Photochemistry & Photobiology, A: Chemistry 416 (2021) 113336
excitation energies. The presence of the carbonyls in the 1,4ꢀ CHDs 5
Table 3. To evaluate the structural distinctions between the excited state
(ES) and ground state (GS) minima of 1,4ꢀ CHDs 1–5, here we compared
the relative deviation values for bond length (RDBL) and Laplacian bond
order (RDLBO) calculated using a method similar to the method used in
the above section, and the results are displayed in Fig. 6. Both the var-
iations of bond length and Laplacian bond order of 1,4ꢀ CHDs 2–4
showed similar trends. The BL1 and BL4 values were calculated to be
increased by 4.0 %; while in contrast, the BL3 and BL5 values were
shortened by 3.0 %. For 1,4ꢀ CHDs 1 and 5, BL1 and BL4 were calculated
to be just slightly changed with the relative deviation values within 5.0
was indicated to lead to moderate increases in BL1 and BL4 (by about
1
1 6
.6 % of RDBL), while BL3 and BL6 (C -C ) showed lower sensitivity to
the presence of the carbonyl (RDBL values of about 0.1 %). These ob-
servations were in good agreement with experimental results showing
that [2 + 2] photocycloaddition of the 1,4ꢀ CHDs 1 could occur in light
of longer wavelengths, and the carbon bridge reducing the distance
between the two C–
–
C double bonds of the 1,4ꢀ CHDs 4 was indicated to
allow 4 to easily undergo the intramolecular [2 + 2] photocycloaddition
19,39].
[
%
accompanied by fluctuation of bond strength of about 1.0 %, indic-
3
.2.2. Theoretical calculations for electron excitation
ative of their being insensitive to excitation. According to the relative
deviation values presented in Fig. 6, the RDLBO of LBO3 and LBO5 were
both increased by the same amount, namely 25.0 %, together with a
contraction of BL1 and BL4 by 25.0 % and 15.0 %, respectively. In
To shed light on the intrinsic characteristics of electron excitation
processes, molecular orbitals (MOs) were used to illustrate the electron
transition modes of these compounds, due to the overwhelming contri-
–
butions of the S
0
→S
1
transitions; depictions of the HOMOs and LUMOs
contrast, the strengths of the C C double bonds in the 1,4-cyclohexa-
–
of 1,4ꢀ CHDs 1-5 are shown in Fig. 4.
diene ring were indicated to be weakened significantly after excita-
tion, and thus resulting in enhancements of their chemical reactivities;
these double bonds have been shown to spatially coincide well with the
locations of the reactive sites of their photoreactions, especially the [2 +
2] photocycloaddition.
All of the frontier orbitals of these compounds were indicated to be
mainly of the -type and to be predominately located on the both sides of
π
the 1,4-cyclohexadiene ring, hence showing a considerable separation in
space. That indicated the lowest-energy transition of the 1,4ꢀ CHDs 1–3
to principally be a charge transfer (CT) excitation (Fig. 4). While the
distribution of the frontier orbitals was indicated to be affected by the
carbonyl groups at positions 3 and 6 of the 1,4ꢀ CHDs 5, the excitation
showed an apparent local excitation (LE) mode. Besides, apparent
changes of the LUMO distribution brought about by the carbon bridge of
the 1,4ꢀ CHDs 4 were noticed as well, and apparently led to delocal-
ization of LUMO and hence its spread to the other C–
Additionally, superpositions of the ES- and GS-minima structures and
their RMSD values (Å) for each of the 1,4ꢀ CHDs 1–5 are shown in Fig. 7.
In particular, the structures of the first triplet states were also included;
they have an important influence on the photochemical reactions of
1,4ꢀ CHDs. For the 1,4ꢀ CHDs 1 as well as for the 1,4ꢀ CHDs 2, these
RMSDs were quite small and the structures were quite planar regardless
of the state, attributed to restraints imposed by the dicarboxylic anhy-
dride and aza substituents; thus each of them was expected to be able to
attack another molecule without steric hindrance and undergo inter-
molecular [2 + 2] photocycloaddition. Nevertheless, for the 1,4ꢀ CHDs
2, no [2 + 2] photocycloaddition product has yet been produced, the
reasons for which need still to be determined. A larger RMSD value was
calculated for the 1,4ꢀ CHDs 3 than for the other 1,4ꢀ CHDs, illustrating
an obvious distinctive feature in the structure of 3 and in accord with its
considerable steric hindrance, the main reason for the lack of any
observed [2 + 2] photocycloaddition of 3. In addition, the carbon bridge
–
C double bond in
our calculations. Comparing the distributions of the frontier orbitals of
1
,4ꢀ CHDs 1–2 and 1,4ꢀ CHDs 3–5 showed some characteristics of their
HOMOs and LUMOs having spread to the introduced dicarboxylic an-
hydride substitutes and aza derivative. In addition, to reveal the char-
acteristics of the electron excitations more intuitively, the calculations of
the electron-hole distributions of 1,4ꢀ CHDs 1–5 after excitation were
carried out (Fig. 5).
Inspection of these plots showed the lowest-energy transitions of
1
,4ꢀ CHDs 1–3 mainly being charge transfer excitation (CT), and those
of 1,4ꢀ CHDs 4–5 mainly being local excitation (LE). Apparently, apart
of the 1,4ꢀ CHDs 4 also apparently prevented any considerable change
* transition induced by electron excitation of C–
C double
in its structure, and the distance between the two C
–
–
C bonds was
from the
π
-π
–
bonds, the n-
atom was also incorporated in the S
,4ꢀ CHDs 1–5, an additional * excitation was found from the C–H
π
* transition from the lone-pair electrons of the oxygen
shortened. This analysis confirmed the experimental results showing the
occurrence of only an intramolecular [2 + 2] photocycloaddition of 4.
For the 1,4ꢀ CHDs 5, the presence of the conjugated carbonyls effec-
tively maintained the planarity of the 1,4-cyclohexadiene ring structure,
consistent with 5 having been observed to readily undergo an inter-
molecular [2 + 2] photocycloaddition.
0
→S transition. Furthermore, for
1
1
σ-π
single bond, and this finding explained the relatively high excitation
energies of 1–5. These observations were in good agreement with
experimental results showing the excitation energies levels of 1,4ꢀ CHDs
to be high (UV range) and the results showing that the
ε
value of the
1
,4ꢀ CHDs 5 was higher than those of 1,4ꢀ CHDs 1–4 because of the
4. Conclusions
local excitation mode.
In summary, an experimental and theoretical study of five 1,4-cyclo-
hexadiene derivatives (1,4ꢀ CHDs) was carried out for the purpose of
investigating their photophysical properties with regards to their [2 + 2]
photocycloaddition reactivities. The 1,4-cyclohexadiene ring of
3
.2.3. Geometrical and electronic structures of the excited states
The bond length (BL) and Laplacian bond order (LBO) values for the
,4-cyclohexadiene rings in their relaxed excited states are displayed in
1
Fig. 4. Plots of HOMOs and LUMOs (isosurface = 0.05 a.u.) of 1,4ꢀ CHDs 1-5.
5